M = ( 2, 7)
Step-by-step explanation:
formula to find mindpoint is
[tex](\frac{x2 + x1}{2} \frac{y2 + y1}{2} )[/tex]
(0,9) = (x1, y1)
(4,5) = (x2,y2)
now substitute those into the formula!
[tex](\frac{4 + 0 }{2} \frac{5 + 9}{2} )[/tex]
now solve for x & y !!
[tex]x = \frac{4 + 0}{2} = \frac{4}{2 } = 2[/tex]
[tex]y = \frac{5 + 9}{2} = \frac{14}{2} = 7[/tex]
so now that we have solved for x & y put it in point form and your done !!
and thanks why the Midpoint is (2,7)